Comparisons between multiplicative and additive Schwarz iterations in domain decomposition methods
type: Item
instance of: scholarly article
title: Comparisons between multiplicative and additive Schwarz iterations in domain decomposition methods
zbMATH Open document ID: 1026.65021
author: Reinhard Nabben
published in: Numerische Mathematik
publication date: 2003-08-19T00:00:00Z
review text: The asymptotic rates of convergence of the additive, multiplicative and weighted restricted additive Schwarz methods are compared for solving linear equations. The multiplicative Schwarz method has the best rate. The adding of multiplicative and additive coarse grid correction is also analysed.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N55
zbMATH DE Number: 1967719
zbMATH Keywords: convergence
zbMATH Keywords: additive Schwarz methods
zbMATH Keywords: multiplicative Schwarz method
zbMATH Keywords: coarse grid correction
reviewed by: F. Szidarovszky
MaRDI profile type: Publication
full work available at URL: s00211-002-0444-7
OpenAlex ID: W2000290814
DOI: 10.1007/S00211-002-0444-7
Recommended article: Q3834978
Recommended article: An additive analysis of multiplicative Schwarz methods
Recommended article: The non-overlapping domain decomposition multiplicative schwarz method
Recommended article: Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes
Recommended article: An Additive Schwarz Analysis for Multiplicative Schwarz Methods: General Case
Recommended article: Q4326699
Recommended article: Q3479491
Recommended article: On the relation between the convergence factors of additive and multiplicative Schwarz method
Recommended article: Q4818269
Recommended article: Optimized Multiplicative, Additive, and Restricted Additive Schwarz Preconditioning
description: scientific article; zbMATH DE number 1967719